1. 10 people can complete 8 large jigsaw puzzles in 6 hours. The same 10 people can complete 12

small jigsaw puzzles in 3 hours. Assume everyone works at the same pace, and the puzzles of each

type are all the same size.

(a) How long will it take 6 people to complete 8 large jigsaw puzzles?

(b) How long will it take 6 people to complete 8 small jigsaw puzzles?

(c) How long will it take 1 person to complete 1 large and 1 small jigsaw puzzle?

2. (a) There was terrible traffic on the highway, and Kiran drove to work at 15 miles per hour. How

fast would he need to drive home for the average speed for his round trip commute to be 25

miles per hour?

(b) Seetha drove to work at 30 miles per hour. How fast would she need to drive home for the

average speed for her round trip commute to be 60 miles per hour?

3. Two joggers are running around an oval track in opposite directions. One jogger runs around the

track in 56 seconds. They meet every 24 seconds. How many seconds does it take the second jogger

to run around the track? (source: MATHCOUNTS)

4. Sam and Ella each drive the same number of miles per year.

Sam switches from a car that gets 26 miles per gallon to a car that gets 56 miles per gallon. Ella

switches from a car that gets 16 miles per gallon to a car that gets 26 miles per gallon.

Both Sam and Ella use fewer gallons of gasoline than they did before. Which of them saves more

gallons of gas?

Guest Oct 22, 2022